Delving into the Unconventional

Wave-Particle Duality

A foundational concept is wave-particle duality, suggesting that entities like electrons and photons exhibit properties of both waves and particles. This isn't a contradiction; rather, it reflects the limitations of our macroscopic perspective.

The double-slit experiment vividly demonstrates this. When electrons are fired at a barrier with two slits, they create an interference pattern – characteristic of waves – even when sent through one at a time. This suggests that each electron passes through both slits simultaneously.

λ = h/p

Superposition

Superposition refers to a quantum system existing in multiple states simultaneously until measured. Think of Schrödinger’s famous cat – it’s neither alive nor dead but exists in a superposition of both states.

Mathematically, this is represented as a linear combination of possible states. The coefficients in the combination determine the probability amplitude for each state.

Ψ = c₁|ψ₁⟩ + c₂|ψ₂⟩

Quantum Entanglement

Entanglement describes a scenario where two or more particles become linked in such a way that they share the same fate, no matter how far apart they are. Measuring the state of one instantly influences the state of the other.

This doesn't violate relativity because it cannot be used to transmit information faster than light. The correlation is established at the time of entanglement.

E = ħω(n + 1/2)

The Observer Effect

A central paradox of quantum mechanics is the observer effect. The act of observing a quantum system inevitably changes it.

This isn't due to conscious intent; rather, any interaction – even with stray photons – disturbs the delicate superposition and forces the system to ‘choose’ a definite state.

Frequently asked questions

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Everything above runs in your browser — open SPH Fluid and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.